Year: 2014
Type: article
Abstract: Complex Lie point transformations are used to linearize a class of systems of second order ordinary differential equations (ODEs) which have Lie algebras of maximum dimension d , with d≤4 . We identify such a class by employing complex structure on the manifold that defines the geometry of differential equations. Furthermore we provide a geometrical construction of the procedure adopted that provides an analogue in R3 of the linearizability criteria in R2 .
Source: Journal of Applied Mathematics
DOI: 10.1155/2014/793247
Authors: Sajid Ali, M. Safdar, Asghar Qadir
Institution: National University of Sciences and Technology
Language: Latvian
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,130
OpenAlex ID: W1981141237